Details

sample103.0ms

Algorithm

intervals

Results

37.0ms	114×	body	1280	valid
35.0ms	233×	body	10240	exit
12.0ms	70×	body	640	valid
5.0ms	43×	body	320	valid
1.0ms	18×	body	160	valid
0.0ms	11×	body	80	valid

simplify45.0ms

Counts

1 → 1

Iterations

Useful iterations: 7 (43.0ms)

Iter	Nodes	Cost
0	15	9
1	24	9
2	32	9
3	44	9
4	63	9
5	179	9
6	1184	9
7	5001	7
done	5001	7

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1 1 (exp (+ x x)))
0.0b	(/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv` `expm1-udef`

Counts

2 → 40

Calls

2 calls:

0.0ms	(fma 1 1 (exp (+ x x)))
5.0ms	(/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))

series89.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(fma 1 1 (exp (+ x x)))
69.0ms	(/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))

simplify71.0ms

Counts

46 → 46

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	150	395
1	512	351
2	2464	344
3	5002	343
done	5002	343

prune111.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x)))
0.0b	(fma 1 1 (exp (+ x x)))
0.2b	(/ 1 (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `associate-/r*`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `associate-/r/` `fma-udef` `inv-pow`

Counts

3 → 117

Calls

3 calls:

7.0ms	(/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x)))
0.0ms	(fma 1 1 (exp (+ x x)))
9.0ms	(/ 1 (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))

series152.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x)))
25.0ms	(fma 1 1 (exp (+ x x)))
64.0ms	(/ 1 (/ (fma 1 1 (exp (+ x x))) (expm1 (+ x x))))

simplify52.0ms

Counts

126 → 126

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	387	1449
1	1742	1257
2	5001	1169
done	5001	1169

prune210.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (* 1/3 (pow x 3)))
0.1b	(* 1/3 (pow x 3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`associate-r`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-exp-log`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`fma-neg` `associate-l` `prod-diff` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

2 → 53

Calls

2 calls:

5.0ms	(- x (* 1/3 (pow x 3)))
12.0ms	(* 1/3 (pow x 3))

series113.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(- x (* 1/3 (pow x 3)))
35.0ms	(* 1/3 (pow x 3))

simplify32.0ms

Counts

59 → 59

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	180	246
1	764	214
2	5001	214
done	5001	214

prune128.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

Accuracy

0% (0.2b remaining)

Error of 0.8b against oracle of 0.6b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	14	7
2	14	7
done	14	7

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.2s	7468×	body	10240	exit
978.0ms	3298×	body	1280	valid
442.0ms	2497×	body	640	valid
134.0ms	1180×	body	320	valid
45.0ms	619×	body	160	valid
15.0ms	406×	body	80	valid